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<h1 class="reftitle">mpt_demo_lti1</h1>
<h2>Purpose</h2>
<p>Simulation of LTISystem</p>
<h2>Syntax</h2>
<pre class="synopsis">mpt_demo_lti1</pre>
<h2>Description</h2>
<p></p>
       Simulation of LTI systems.
	<h2>Example(s)</h2>
<h3>Example 
				1</h3>Define an LTI system <img src="../../../fig/mpt/demos/mpt_demo_lti11.png" alt="../../../fig/mpt/demos/mpt_demo_lti11.png">, <img src="../../../fig/mpt/demos/mpt_demo_lti12.png" alt="../../../fig/mpt/demos/mpt_demo_lti12.png">
      <pre class="programlisting">A = [1 1; 0 1]; B = [1; 0.5]; C = [1 0];</pre>
<pre class="programlisting"></pre>
<pre class="programlisting"> lti = LTISystem('A', A, 'B', B, 'C', C) </pre>
<pre class="programlisting">LTISystem with 2 states, 1 input, 1 output
</pre> Set the initial state of the system <pre class="programlisting"> lti.initialize([1; 1.5]); </pre>
<pre class="programlisting"></pre> Ask for the states <pre class="programlisting"> x = lti.getStates() </pre>
<pre class="programlisting">
x =

                         1
                       1.5

</pre> Update the system's state using some control action. <pre class="programlisting">  u = 0.5; </pre>
<pre class="programlisting"></pre> The following updates the internal state <pre class="programlisting"> lti.update(u); </pre>
<pre class="programlisting"></pre> Ask for the updated states <pre class="programlisting"> x = lti.getStates() </pre>
<pre class="programlisting">
x =

                         3
                      1.75

</pre> The state-update and current output can also be directly obtained from update(): <pre class="programlisting"> u = -0.6; </pre>
<pre class="programlisting"></pre>
<pre class="programlisting"> [next_x, current_y] = lti.update(u) </pre>
<pre class="programlisting">
next_x =

                      4.15
                      1.45


current_y =

     3

</pre>
<h2>See Also</h2>
<a href="./mpt_demo_lti2.html">mpt_demo_lti2</a>, <a href="./mpt_demo_lti3.html">mpt_demo_lti3</a>, <a href="./mpt_demo_lti4.html">mpt_demo_lti4</a>, <a href="./mpt_demo_lti5.html">mpt_demo_lti5</a><p></p>
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<br><p>©  <b>2003-2013</b>     Michal Kvasnica: STU Bratislava,    <a href="mailto:michal.kvasnica@stuba.sk">michal.kvasnica@stuba.sk</a></p>
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